Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is beautiful [PERIOD] Rules: stubborn [IMPLY] beautiful [PERIOD] tidy [AND] excited [IMPLY] stubborn [PERIOD] stubborn [AND] frantic [AND] troubled [IMPLY] excited [PERIOD] frantic [AND] stubborn [IMPLY] fragile [PERIOD] excited [AND] fragile [IMPLY] confident [PERIOD] muddy [AND] tidy [AND] beautiful [I...
Proof chain: beautiful ⇒ troubled troubled ⇒ stubborn beautiful ⇒ troubled Cannot apply rule “stubborn ∧ frantic ∧ troubled ⇒ excited” because missing: frantic. Cannot apply rule “tidy ⇒ excited” because missing: tidy. Cannot apply rule “fragile ⇒ excited” because missing: fragile. beautiful ⇒ trou...
0
9
Facts: Batman is weary [PERIOD] Batman is homely [PERIOD] Batman is friendly [PERIOD] Batman is unpleasant [PERIOD] Batman is selfish [PERIOD] Batman is ambitious [PERIOD] Rules: homely [AND] talented [IMPLY] weary [PERIOD] long [AND] reserved [AND] old-fashioned [IMPLY] comfortable [PERIOD] thoughtless [IMPLY] friend...
Proof chain: unpleasant ∧ homely ∧ ambitious ⇒ ugliest ugliest ⇒ thoughtless weary ⇒ talented unpleasant ⇒ long unpleasant ∧ homely ∧ ambitious ⇒ ugliest talented ∧ long ∧ ugliest ⇒ tense friendly ⇒ cooperative cooperative ⇒ bad-tempered thoughtless ∧ tense ∧ bad-tempered ⇒ old-fashioned
1
9
Facts: Batman is amused [PERIOD] Batman is bored [PERIOD] Rules: impatient [AND] dull [AND] thoughtful [IMPLY] innocent [PERIOD] innocent [AND] crowded [IMPLY] amused [PERIOD] bad-tempered [AND] amused [IMPLY] tame [PERIOD] witty [AND] tired [AND] muddy [IMPLY] bored [PERIOD] blushing [AND] amused [IMPLY] witty [PERIO...
Proof chain: bored ⇒ sleepy amused ⇒ bad-tempered bad-tempered ∧ amused ⇒ tame amused ⇒ clumsy tame ∧ clumsy ⇒ tired Cannot apply rule “sleepy ∧ witty ∧ tired ⇒ crowded” because missing: witty. amused ⇒ clumsy amused ∧ clumsy ⇒ embarrassed Cannot apply rule “embarrassed ∧ aggressive ∧ innocen...
0
9
Facts: Batman is versatile [PERIOD] Rules: gifted [IMPLY] reserved [PERIOD] beautiful [AND] stupid [AND] blushing [IMPLY] silly [PERIOD] attentive [AND] grumpy [AND] tidy [IMPLY] reserved [PERIOD] reserved [AND] attentive [AND] shy [IMPLY] pessimistic [PERIOD] ugliest [IMPLY] blushing [PERIOD] beautiful [AND] straight...
Proof chain: Cannot apply rule “gifted ⇒ reserved” because missing: gifted. versatile ⇒ cruel cruel ⇒ tidy Cannot apply rule “attentive ∧ grumpy ∧ tidy ⇒ reserved” because missing: attentive, grumpy. Cannot apply rule “gifted ∧ joyous ∧ ugliest ⇒ reserved” because missing: gifted, joyous, ugliest. ver...
0
9
Facts: Batman is witty [PERIOD] Batman is hurt [PERIOD] Batman is worrisome [PERIOD] Batman is unpleasant [PERIOD] Batman is excited [PERIOD] Batman is serious [PERIOD] Batman is frantic [PERIOD] Rules: excited [IMPLY] agreeable [PERIOD] witty [AND] tense [IMPLY] attentive [PERIOD] worrisome [IMPLY] grumpy [PERIOD] ex...
Proof chain: Cannot apply rule “adorable ∧ frantic ⇒ fancy” because missing: adorable. hurt ∧ frantic ⇒ grumpy worrisome ∧ witty ∧ grumpy ⇒ charming Cannot apply rule “adorable ∧ charming ∧ serious ⇒ fancy” because missing: adorable. Cannot apply rule “fragile ∧ excited ⇒ fancy” because missing: fragile....
0
9
Facts: Batman is comfortable [PERIOD] Batman is homely [PERIOD] Batman is selfish [PERIOD] Batman is rational [PERIOD] Batman is disobedient [PERIOD] Batman is disgusted [PERIOD] Batman is silly [PERIOD] Rules: disgusted [AND] strange [AND] alert [IMPLY] pessimistic [PERIOD] tired [AND] homely [AND] serious [IMPLY] th...
Proof chain: selfish ∧ comfortable ⇒ bad-tempered silly ⇒ broad-minded selfish ∧ comfortable ⇒ bad-tempered bad-tempered ⇒ excited bad-tempered ∧ broad-minded ∧ excited ⇒ impatient comfortable ∧ disgusted ∧ selfish ⇒ pessimistic pessimistic ∧ silly ⇒ aggressive disobedient ∧ impatient ∧ aggressi...
0
9
Facts: Batman is wrong [PERIOD] Batman is gifted [PERIOD] Batman is precious [PERIOD] Batman is tame [PERIOD] Batman is serious [PERIOD] Rules: wrong [AND] tired [AND] fragile [IMPLY] shiny [PERIOD] mean [IMPLY] combative [PERIOD] rational [AND] ambitious [IMPLY] inquisitive [PERIOD] tender [AND] wrong [IMPLY] inquisi...
Proof chain: wrong ∧ tame ⇒ combative combative ∧ serious ⇒ mysterious mysterious ⇒ uptight gifted ⇒ elegant wrong ∧ tame ⇒ combative elegant ∧ combative ∧ gifted ⇒ inquisitive serious ⇒ joyous inquisitive ∧ joyous ⇒ ambitious uptight ∧ ambitious ⇒ helpful
1
9
Facts: Batman is combative [PERIOD] Rules: rude [AND] disobedient [AND] dishonest [IMPLY] worried [PERIOD] disobedient [AND] rude [IMPLY] worried [PERIOD] messy [AND] dishonest [AND] powerful [IMPLY] naughty [PERIOD] disobedient [IMPLY] silly [PERIOD] silly [AND] messy [IMPLY] careless [PERIOD] dishonest [IMPLY] disob...
Proof chain: Cannot apply rule “disobedient ∧ combative ∧ silly ⇒ elegant” because missing: disobedient, silly. Cannot apply rule “cooperative ∧ dishonest ∧ messy ⇒ elegant” because missing: cooperative, dishonest, messy. Cannot apply rule “rude ⇒ elegant” because missing: rude. Cannot apply rule “weary ∧ n...
0
9
Facts: Batman is intellectual [PERIOD] Batman is courageous [PERIOD] Batman is combative [PERIOD] Rules: mean [AND] bored [IMPLY] serious [PERIOD] confident [AND] ugly [IMPLY] proud [PERIOD] clean [AND] serious [AND] confident [IMPLY] excited [PERIOD] courageous [AND] mean [IMPLY] intellectual [PERIOD] combative [IMPL...
Proof chain: Cannot apply rule “proud ∧ courageous ∧ clean ⇒ ugly” because missing: proud, clean. Cannot apply rule “combative ∧ courageous ∧ mean ⇒ ugly” because missing: mean. Cannot apply rule “confident ∧ intellectual ⇒ ugly” because missing: confident. combative ⇒ excited Cannot apply rule “excited ...
0
9
Facts: Batman is glamorous [PERIOD] Batman is silly [PERIOD] Batman is gifted [PERIOD] Batman is tender [PERIOD] Rules: anxious [AND] zealous [IMPLY] beautiful [PERIOD] different [AND] zealous [AND] tender [IMPLY] rational [PERIOD] wrong [AND] silly [IMPLY] cooperative [PERIOD] frantic [AND] rational [AND] zealous [IM...
Proof chain: glamorous ⇒ rational rational ⇒ different Cannot apply rule “tender ∧ different ∧ outstanding ⇒ zealous” because missing: outstanding. Cannot apply rule “polite ∧ disobedient ⇒ zealous” because missing: polite, disobedient. glamorous ⇒ rational Cannot apply rule “anxious ∧ beautiful ∧ rat...
0
9
Facts: Batman is naughty [PERIOD] Rules: broad-minded [AND] talkative [IMPLY] precious [PERIOD] talkative [AND] elated [IMPLY] reserved [PERIOD] broad-minded [AND] elated [IMPLY] perfect [PERIOD] elated [AND] hypocritical [AND] foolish [IMPLY] long [PERIOD] tired [AND] perfect [AND] muddy [IMPLY] elated [PERIOD] tired...
Proof chain: naughty ⇒ confused confused ⇒ tired tired ⇒ scared Cannot apply rule “reserved ∧ spotless ∧ scared ⇒ intellectual” because missing: reserved, spotless. naughty ⇒ confused confused ⇒ tired tired ⇒ scared Cannot apply rule “scared ∧ powerful ∧ stubborn ⇒ intellectual” because missing:...
0
9
Facts: Batman is good [PERIOD] Batman is selfish [PERIOD] Batman is difficult [PERIOD] Batman is tender [PERIOD] Batman is cruel [PERIOD] Rules: pleasant [IMPLY] good [PERIOD] stormy [AND] sleepy [IMPLY] frantic [PERIOD] tender [IMPLY] wide-eyed [PERIOD] pleasant [AND] frail [AND] stormy [IMPLY] loving [PERIOD] hypocr...
Proof chain: tender ⇒ wide-eyed wide-eyed ⇒ hypocritical selfish ∧ hypocritical ⇒ powerful tender ⇒ wide-eyed difficult ⇒ ambitious wide-eyed ∧ ambitious ⇒ perfect difficult ∧ powerful ∧ perfect ⇒ frail difficult ⇒ ambitious Cannot apply rule “foolish ∧ frail ∧ ambitious ⇒ proud” because miss...
0
9
Facts: Batman is serious [PERIOD] Rules: diplomatic [AND] rude [AND] intellectual [IMPLY] serious [PERIOD] precious [IMPLY] rude [PERIOD] confident [IMPLY] spotless [PERIOD] innocent [IMPLY] anxious [PERIOD] rude [AND] glamorous [IMPLY] stupid [PERIOD] rude [AND] innocent [AND] stupid [IMPLY] diplomatic [PERIOD] serio...
Proof chain: Cannot apply rule “diplomatic ∧ confident ∧ glamorous ⇒ outrageous” because missing: diplomatic, confident, glamorous. Cannot apply rule “stupid ∧ glamorous ∧ precious ⇒ outrageous” because missing: stupid, glamorous, precious. serious ⇒ innocent innocent ⇒ anxious anxious ⇒ proud proud ⇒...
0
9
Facts: Batman is embarrassed [PERIOD] Batman is serious [PERIOD] Rules: outstanding [AND] amused [IMPLY] stormy [PERIOD] inexpensive [AND] agreeable [AND] crowded [IMPLY] careless [PERIOD] tense [AND] spotless [IMPLY] amused [PERIOD] talkative [AND] stormy [AND] agreeable [IMPLY] inexpensive [PERIOD] outstanding [AND]...
Proof chain: Cannot apply rule “tense ∧ spotless ⇒ amused” because missing: tense, spotless. Cannot apply rule “outstanding ∧ gifted ⇒ amused” because missing: outstanding, gifted. Cannot apply rule “quaint ⇒ amused” because missing: quaint. Cannot apply rule “embarrassed ∧ careless ⇒ amused” because missin...
0
9
Facts: Batman is calm [PERIOD] Batman is silly [PERIOD] Batman is curious [PERIOD] Batman is serious [PERIOD] Rules: smart [AND] horrible [IMPLY] calm [PERIOD] precious [IMPLY] intellectual [PERIOD] uptight [AND] supportive [AND] straightforward [IMPLY] horrible [PERIOD] weary [AND] broad-minded [AND] smart [IMPLY] su...
Proof chain: calm ⇒ weary weary ∧ calm ⇒ grumpy calm ⇒ weary calm ⇒ weary weary ∧ calm ⇒ grumpy grumpy ⇒ glamorous weary ∧ glamorous ⇒ dull grumpy ∧ dull ⇒ charming charming ⇒ elated
1
9
Facts: Batman is tame [PERIOD] Rules: sensible [IMPLY] stubborn [PERIOD] sensible [AND] courageous [IMPLY] scared [PERIOD] stubborn [IMPLY] courageous [PERIOD] tame [AND] courageous [AND] sensible [IMPLY] agreeable [PERIOD] tame [AND] agreeable [AND] courageous [IMPLY] sensible [PERIOD] stubborn [AND] courageous [AND]...
Proof chain: tame ⇒ scared scared ∧ tame ⇒ agreeable Cannot apply rule “tame ∧ agreeable ∧ courageous ⇒ sensible” because missing: courageous. Cannot apply rule “stubborn ⇒ sensible” because missing: stubborn. Cannot apply rule “tame ∧ courageous ⇒ sensible” because missing: courageous. Cannot apply r...
0
9
Facts: Batman is modern [PERIOD] Batman is fancy [PERIOD] Batman is dishonest [PERIOD] Batman is supportive [PERIOD] Rules: jittery [AND] intellectual [AND] clumsy [IMPLY] fancy [PERIOD] muddy [IMPLY] comfortable [PERIOD] clumsy [AND] intellectual [IMPLY] courageous [PERIOD] confused [AND] clumsy [IMPLY] jittery [PERI...
Proof chain: supportive ⇒ reserved reserved ∧ supportive ⇒ muddy muddy ⇒ comfortable supportive ⇒ reserved comfortable ∧ reserved ⇒ friendly supportive ⇒ reserved modern ∧ fancy ∧ reserved ⇒ confused supportive ⇒ reserved friendly ∧ confused ∧ reserved ⇒ jittery
1
9
Facts: Batman is embarrassed [PERIOD] Rules: difficult [AND] talkative [AND] busy [IMPLY] old-fashioned [PERIOD] disobedient [AND] scared [IMPLY] wandering [PERIOD] reserved [AND] mysterious [AND] wandering [IMPLY] jittery [PERIOD] disobedient [AND] crowded [IMPLY] old-fashioned [PERIOD] innocent [IMPLY] calm [PERIOD]...
Proof chain: Cannot apply rule “different ∧ wandering ⇒ plain” because missing: different, wandering. Cannot apply rule “bossy ∧ calm ∧ different ⇒ plain” because missing: bossy, calm, different. Cannot apply rule “talkative ∧ embarrassed ⇒ plain” because missing: talkative. embarrassed ⇒ disobedient Can...
0
9
Facts: Batman is bright [PERIOD] Rules: agreeable [AND] stormy [AND] grumpy [IMPLY] lonely [PERIOD] bright [IMPLY] sleepy [PERIOD] bright [IMPLY] muddy [PERIOD] lonely [IMPLY] courageous [PERIOD] agreeable [IMPLY] courageous [PERIOD] sleepy [AND] lonely [IMPLY] grumpy [PERIOD] inquisitive [AND] lonely [IMPLY] horrible...
Proof chain: bright ⇒ sleepy bright ⇒ sleepy bright ∧ sleepy ⇒ horrible horrible ⇒ lonely sleepy ∧ lonely ⇒ grumpy bright ⇒ sleepy bright ∧ sleepy ⇒ horrible horrible ⇒ lonely grumpy ∧ lonely ⇒ versatile
1
9
Facts: Batman is friendly [PERIOD] Batman is rude [PERIOD] Batman is attentive [PERIOD] Batman is messy [PERIOD] Batman is straightforward [PERIOD] Rules: famous [AND] attentive [AND] stubborn [IMPLY] nervous [PERIOD] attentive [IMPLY] wandering [PERIOD] nervous [IMPLY] straightforward [PERIOD] friendly [AND] famous [...
Proof chain: attentive ⇒ wandering wandering ⇒ silly attentive ⇒ wandering messy ∧ wandering ⇒ helpful attentive ⇒ wandering wandering ⇒ silly silly ⇒ nervous helpful ∧ nervous ⇒ courageous silly ∧ rude ∧ courageous ⇒ foolish
1
9
Facts: Batman is clumsy [PERIOD] Rules: wide-eyed [AND] zealous [IMPLY] confident [PERIOD] dishonest [IMPLY] zealous [PERIOD] confident [AND] confused [AND] light [IMPLY] embarrassed [PERIOD] dishonest [IMPLY] confident [PERIOD] clumsy [IMPLY] dishonest [PERIOD] confident [IMPLY] wide-eyed [PERIOD] wide-eyed [AND] emb...
Proof chain: clumsy ⇒ dishonest dishonest ⇒ confident Cannot apply rule “confident ∧ confused ∧ light ⇒ embarrassed” because missing: confused, light. clumsy ⇒ dishonest dishonest ⇒ confident confident ⇒ wide-eyed clumsy ⇒ dishonest dishonest ⇒ confident Cannot apply rule “wide-eyed ∧ fancy ∧...
0
9
Facts: Batman is talented [PERIOD] Batman is nervous [PERIOD] Batman is uptight [PERIOD] Rules: rational [IMPLY] proud [PERIOD] nervous [AND] uptight [IMPLY] rational [PERIOD] proud [IMPLY] rational [PERIOD] crowded [AND] uptight [IMPLY] proud [PERIOD] rational [AND] crowded [IMPLY] fancy [PERIOD] innocent [IMPLY] ner...
Proof chain: nervous ⇒ rational rational ⇒ proud proud ⇒ crowded talented ⇒ victorious victorious ⇒ excited nervous ⇒ fancy nervous ⇒ rational fancy ∧ rational ∧ uptight ⇒ clumsy crowded ∧ excited ∧ clumsy ⇒ innocent
1
9
Facts: Batman is disgusted [PERIOD] Batman is talkative [PERIOD] Batman is plain [PERIOD] Rules: troubled [IMPLY] nervous [PERIOD] messy [IMPLY] rational [PERIOD] elated [AND] messy [IMPLY] jittery [PERIOD] nervous [IMPLY] average [PERIOD] disgusted [AND] courageous [AND] troubled [IMPLY] average [PERIOD] elated [AND]...
Proof chain: Cannot apply rule “wide-eyed ⇒ messy” because missing: wide-eyed. Cannot apply rule “frightened ⇒ messy” because missing: frightened. Cannot apply rule “disgusted ∧ wide-eyed ∧ troubled ⇒ messy” because missing: wide-eyed, troubled. disgusted ∧ plain ⇒ difficult disgusted ∧ plain ⇒ difficult...
0
9
Facts: Batman is charming [PERIOD] Batman is frightened [PERIOD] Batman is helpful [PERIOD] Batman is pessimistic [PERIOD] Batman is light [PERIOD] Batman is hilarious [PERIOD] Rules: pessimistic [AND] innocent [IMPLY] clean [PERIOD] spotless [IMPLY] innocent [PERIOD] intellectual [AND] clean [AND] lucky [IMPLY] weary...
Proof chain: light ⇒ intellectual light ⇒ spotless spotless ∧ charming ⇒ clean Cannot apply rule “intellectual ∧ clean ∧ lucky ⇒ weary” because missing: lucky. Cannot apply rule “amused ⇒ weary” because missing: amused. light ⇒ spotless spotless ∧ charming ⇒ clean charming ⇒ disgusted Cannot ...
0
9
Facts: Batman is joyous [PERIOD] Batman is cooperative [PERIOD] Batman is disgusted [PERIOD] Rules: supportive [IMPLY] anxious [PERIOD] precious [IMPLY] confident [PERIOD] disgusted [IMPLY] homely [PERIOD] witty [AND] confident [IMPLY] silly [PERIOD] witty [AND] wandering [AND] cooperative [IMPLY] precious [PERIOD] wa...
Proof chain: disgusted ⇒ homely homely ⇒ outstanding outstanding ⇒ wandering wandering ⇒ selfish selfish ⇒ bossy disgusted ⇒ homely homely ⇒ outstanding outstanding ⇒ wandering Cannot apply rule “supportive ∧ bossy ∧ wandering ⇒ weary” because missing: supportive.
0
9
Facts: Batman is busy [PERIOD] Batman is embarrassed [PERIOD] Batman is shiny [PERIOD] Batman is proud [PERIOD] Rules: talented [AND] difficult [AND] proud [IMPLY] joyous [PERIOD] joyous [AND] shiny [AND] naughty [IMPLY] proud [PERIOD] hurt [IMPLY] busy [PERIOD] straightforward [AND] homely [AND] naughty [IMPLY] atten...
Proof chain: shiny ⇒ modern modern ⇒ powerful proud ∧ shiny ⇒ straightforward shiny ∧ embarrassed ⇒ talented straightforward ∧ talented ⇒ naughty naughty ⇒ grumpy busy ⇒ homely homely ⇒ joyous powerful ∧ grumpy ∧ joyous ⇒ ugliest
1
9
Facts: Batman is rational [PERIOD] Batman is helpless [PERIOD] Batman is enchanting [PERIOD] Batman is crowded [PERIOD] Batman is elated [PERIOD] Batman is difficult [PERIOD] Batman is ugly [PERIOD] Batman is long [PERIOD] Batman is aggressive [PERIOD] Rules: innocent [AND] supportive [IMPLY] naughty [PERIOD] rational...
Proof chain: rational ∧ difficult ⇒ hilarious difficult ⇒ shy shy ∧ helpless ⇒ impartial hilarious ∧ enchanting ∧ impartial ⇒ naughty difficult ⇒ shy shy ∧ helpless ⇒ impartial impartial ∧ helpless ⇒ reserved rational ⇒ innocent naughty ∧ reserved ∧ innocent ⇒ talkative
1
9
Facts: Batman is outrageous [PERIOD] Batman is gifted [PERIOD] Batman is stormy [PERIOD] Rules: pessimistic [AND] diplomatic [AND] intellectual [IMPLY] sincere [PERIOD] dull [AND] dishonest [IMPLY] clumsy [PERIOD] tired [AND] pessimistic [AND] aggressive [IMPLY] clumsy [PERIOD] versatile [IMPLY] intellectual [PERIOD] ...
Proof chain: gifted ⇒ thoughtless outrageous ∧ thoughtless ⇒ dull stormy ∧ gifted ⇒ clumsy outrageous ∧ clumsy ⇒ versatile outrageous ∧ versatile ⇒ tired gifted ⇒ thoughtless outrageous ∧ thoughtless ⇒ dull outrageous ∧ dull ⇒ intellectual dull ∧ tired ∧ intellectual ⇒ silly
1
9
Facts: Batman is popular [PERIOD] Batman is smart [PERIOD] Batman is sensible [PERIOD] Rules: spotless [IMPLY] mysterious [PERIOD] enchanting [IMPLY] courageous [PERIOD] exuberant [AND] spotless [IMPLY] courageous [PERIOD] frail [AND] plain [AND] enchanting [IMPLY] talented [PERIOD] versatile [AND] mysterious [AND] mu...
Proof chain: sensible ⇒ frail popular ⇒ muddy sensible ⇒ frail sensible ∧ frail ⇒ talented muddy ∧ talented ⇒ exuberant sensible ⇒ frail frail ⇒ gorgeous gorgeous ⇒ mysterious frail ∧ exuberant ∧ mysterious ⇒ courageous
1
9
Facts: Batman is clean [PERIOD] Batman is impartial [PERIOD] Batman is jittery [PERIOD] Batman is silly [PERIOD] Batman is intellectual [PERIOD] Batman is tired [PERIOD] Rules: frail [AND] jittery [IMPLY] foolish [PERIOD] careless [IMPLY] aggressive [PERIOD] excited [AND] jittery [AND] careless [IMPLY] silly [PERIOD] ...
Proof chain: Cannot apply rule “frail ∧ bossy ∧ impartial ⇒ attractive” because missing: frail, bossy. tired ⇒ excited tired ∧ clean ∧ excited ⇒ curious curious ⇒ distinct tired ⇒ excited Cannot apply rule “distinct ∧ frail ∧ excited ⇒ attractive” because missing: frail. tired ⇒ excited Cannot a...
0
9
Facts: Batman is condemned [PERIOD] Batman is wrong [PERIOD] Batman is careless [PERIOD] Batman is frightened [PERIOD] Rules: sincere [AND] versatile [IMPLY] long [PERIOD] helpless [AND] scared [AND] light [IMPLY] popular [PERIOD] helpless [AND] versatile [IMPLY] outstanding [PERIOD] unpleasant [AND] wrong [AND] uglie...
Proof chain: condemned ⇒ frantic condemned ⇒ frantic frantic ⇒ plain frantic ∧ plain ∧ careless ⇒ versatile Cannot apply rule “sincere ∧ versatile ⇒ long” because missing: sincere. condemned ∧ careless ⇒ light light ⇒ average careless ⇒ joyous Cannot apply rule “muddy ∧ average ∧ joyous ⇒ lon...
0
9
Facts: Batman is rude [PERIOD] Batman is sleepy [PERIOD] Batman is bossy [PERIOD] Batman is smart [PERIOD] Batman is impatient [PERIOD] Rules: jittery [AND] popular [IMPLY] curious [PERIOD] curious [AND] unpleasant [AND] outstanding [IMPLY] charming [PERIOD] unpleasant [AND] bright [AND] curious [IMPLY] jittery [PERIO...
Proof chain: smart ⇒ courageous Cannot apply rule “fragile ∧ impatient ∧ courageous ⇒ bright” because missing: fragile. smart ⇒ courageous bossy ∧ courageous ⇒ outstanding outstanding ⇒ curious smart ⇒ courageous bossy ∧ courageous ⇒ outstanding outstanding ⇒ unpleasant Cannot apply rule “cur...
0
9
Facts: Batman is fearless [PERIOD] Batman is troubled [PERIOD] Batman is busy [PERIOD] Batman is cruel [PERIOD] Rules: ugliest [AND] lucky [IMPLY] smart [PERIOD] sleepy [AND] long [AND] helpful [IMPLY] gleaming [PERIOD] smart [AND] supportive [IMPLY] fancy [PERIOD] versatile [AND] sleepy [AND] helpful [IMPLY] fancy [P...
Proof chain: cruel ⇒ gleaming busy ⇒ rude busy ∧ cruel ⇒ sleepy cruel ⇒ gleaming troubled ⇒ ugliest sleepy ∧ gleaming ∧ ugliest ⇒ average busy ∧ rude ∧ average ⇒ combative combative ⇒ helpless troubled ∧ gleaming ∧ helpless ⇒ calm
1
9
Facts: Batman is shiny [PERIOD] Batman is combative [PERIOD] Batman is silly [PERIOD] Batman is joyous [PERIOD] Rules: famous [AND] versatile [AND] tired [IMPLY] excited [PERIOD] grumpy [AND] tired [IMPLY] mysterious [PERIOD] powerful [AND] muddy [IMPLY] excited [PERIOD] tired [AND] adorable [AND] fine [IMPLY] excited...
Proof chain: combative ⇒ mysterious combative ⇒ mysterious mysterious ⇒ bad-tempered joyous ∧ mysterious ∧ bad-tempered ⇒ adorable silly ⇒ fine adorable ∧ fine ⇒ powerful combative ⇒ mysterious mysterious ⇒ bad-tempered Cannot apply rule “powerful ∧ bad-tempered ∧ muddy ⇒ rude” because missin...
0
9
Facts: Batman is frail [PERIOD] Batman is intellectual [PERIOD] Batman is clean [PERIOD] Batman is talkative [PERIOD] Batman is average [PERIOD] Rules: frail [AND] impartial [IMPLY] careless [PERIOD] weary [AND] careless [AND] frail [IMPLY] helpful [PERIOD] intellectual [AND] wrong [IMPLY] popular [PERIOD] attentive [...
Proof chain: average ⇒ weary average ⇒ busy busy ⇒ impartial frail ∧ impartial ⇒ careless weary ∧ careless ∧ frail ⇒ helpful helpful ⇒ witty witty ⇒ popular popular ⇒ uptight uptight ⇒ wrong
1
9
Facts: Batman is crowded [PERIOD] Rules: cute [AND] beautiful [AND] sincere [IMPLY] confident [PERIOD] fine [AND] nervous [AND] polite [IMPLY] sincere [PERIOD] cute [IMPLY] anxious [PERIOD] beautiful [AND] diplomatic [AND] courageous [IMPLY] tired [PERIOD] impartial [AND] courageous [IMPLY] strange [PERIOD] troubled [...
Proof chain: crowded ⇒ exuberant exuberant ⇒ anxious anxious ⇒ beautiful Cannot apply rule “cute ∧ beautiful ∧ sincere ⇒ confident” because missing: cute, sincere. Cannot apply rule “strange ⇒ confident” because missing: strange. crowded ⇒ exuberant exuberant ⇒ anxious anxious ⇒ excited Canno...
0
9
Facts: Batman is hurt [PERIOD] Batman is impartial [PERIOD] Batman is wandering [PERIOD] Batman is agreeable [PERIOD] Batman is alert [PERIOD] Batman is shy [PERIOD] Rules: confident [AND] shy [IMPLY] helpless [PERIOD] hurt [IMPLY] wandering [PERIOD] zealous [IMPLY] confident [PERIOD] frantic [AND] impartial [AND] agr...
Proof chain: hurt ⇒ helpless wandering ⇒ worried hurt ∧ worried ∧ wandering ⇒ naughty Cannot apply rule “helpless ∧ frantic ∧ naughty ⇒ plain” because missing: frantic. Cannot apply rule “exuberant ∧ frantic ∧ curious ⇒ plain” because missing: exuberant, frantic, curious. wandering ⇒ worried hurt ∧...
0
9
Facts: Rules: crowded [IMPLY] uptight [PERIOD] gifted [AND] hurt [IMPLY] crowded [PERIOD] impatient [AND] crowded [AND] ugliest [IMPLY] clean [PERIOD] sensible [AND] lonely [AND] crowded [IMPLY] vivacious [PERIOD] stormy [AND] excited [IMPLY] ugliest [PERIOD] uptight [AND] impartial [AND] inquisitive [IMPLY] long [PER...
Proof chain: Cannot apply rule “uptight ∧ impartial ∧ inquisitive ⇒ long” because missing: uptight, impartial, inquisitive. Cannot apply rule “vivacious ∧ impatient ∧ hurt ⇒ long” because missing: vivacious, impatient, hurt. Cannot apply rule “sensible ∧ clean ⇒ long” because missing: sensible, clean. Canno...
0
9
Facts: Batman is fearless [PERIOD] Batman is famous [PERIOD] Rules: selfish [AND] frantic [AND] shiny [IMPLY] intellectual [PERIOD] weary [AND] disgusted [IMPLY] plain [PERIOD] ugliest [AND] selfish [AND] agreeable [IMPLY] shiny [PERIOD] shiny [AND] ugliest [IMPLY] selfish [PERIOD] outstanding [AND] frantic [AND] ugli...
Proof chain: famous ⇒ busy fearless ∧ busy ⇒ plain plain ⇒ intellectual fearless ∧ intellectual ⇒ selfish Cannot apply rule “ugliest ∧ selfish ∧ agreeable ⇒ shiny” because missing: ugliest, agreeable. famous ⇒ busy fearless ∧ busy ⇒ plain plain ⇒ intellectual Cannot apply rule “intellectual ∧...
0
9
Facts: Batman is stormy [PERIOD] Batman is aggressive [PERIOD] Batman is mean [PERIOD] Rules: stormy [AND] aggressive [IMPLY] hilarious [PERIOD] stormy [IMPLY] foolish [PERIOD] foolish [AND] hilarious [AND] silly [IMPLY] alert [PERIOD] mean [AND] alert [AND] aggressive [IMPLY] selfish [PERIOD] mean [AND] hilarious [AN...
Proof chain: stormy ∧ aggressive ⇒ hilarious Cannot apply rule “alert ∧ hilarious ⇒ silly” because missing: alert. stormy ∧ aggressive ⇒ hilarious stormy ∧ aggressive ⇒ hilarious hilarious ∧ mean ⇒ frail hilarious ∧ frail ∧ aggressive ⇒ selfish stormy ∧ aggressive ⇒ hilarious hilarious ∧ mean ⇒ ...
0
9
Facts: Batman is messy [PERIOD] Batman is straightforward [PERIOD] Batman is thoughtful [PERIOD] Batman is adorable [PERIOD] Rules: straightforward [AND] clean [AND] loving [IMPLY] messy [PERIOD] pleasant [IMPLY] loving [PERIOD] jittery [IMPLY] straightforward [PERIOD] light [AND] jittery [AND] straightforward [IMPLY]...
Proof chain: messy ⇒ pleasant pleasant ⇒ loving loving ⇒ jittery Cannot apply rule “light ∧ jittery ∧ straightforward ⇒ clean” because missing: light. Cannot apply rule “uptight ∧ adorable ⇒ clean” because missing: uptight. messy ⇒ pleasant pleasant ⇒ loving loving ⇒ jittery Cannot apply rule...
0
9
Facts: Batman is pleasant [PERIOD] Batman is sleepy [PERIOD] Batman is sensible [PERIOD] Batman is fearless [PERIOD] Batman is vivacious [PERIOD] Batman is thoughtless [PERIOD] Batman is disgusted [PERIOD] Rules: naughty [AND] jittery [IMPLY] fancy [PERIOD] thoughtless [AND] ugliest [IMPLY] vivacious [PERIOD] victorio...
Proof chain: sleepy ⇒ mysterious mysterious ⇒ talkative pleasant ⇒ old-fashioned old-fashioned ⇒ unpleasant vivacious ∧ fearless ∧ unpleasant ⇒ frightened thoughtless ∧ frightened ⇒ naughty pleasant ∧ naughty ⇒ busy thoughtless ∧ disgusted ⇒ average talkative ∧ busy ∧ average ⇒ intellectual
1
9
Facts: Batman is naughty [PERIOD] Rules: hilarious [IMPLY] good [PERIOD] naughty [AND] disgusted [AND] alert [IMPLY] tidy [PERIOD] grumpy [AND] sincere [IMPLY] thoughtless [PERIOD] scared [IMPLY] hilarious [PERIOD] naughty [AND] thoughtful [IMPLY] horrible [PERIOD] thoughtless [AND] alert [AND] crowded [IMPLY] scared ...
Proof chain: Cannot apply rule “thoughtless ⇒ aggressive” because missing: thoughtless. Cannot apply rule “hilarious ∧ stupid ⇒ aggressive” because missing: hilarious, stupid. Cannot apply rule “elegant ∧ attractive ⇒ aggressive” because missing: elegant, attractive. Cannot apply rule “sincere ∧ clean ⇒ agg...
0
9
Facts: Batman is fine [PERIOD] Batman is joyous [PERIOD] Batman is old-fashioned [PERIOD] Batman is beautiful [PERIOD] Batman is shiny [PERIOD] Batman is comfortable [PERIOD] Rules: amused [AND] popular [AND] comfortable [IMPLY] tidy [PERIOD] sleepy [AND] fine [AND] zealous [IMPLY] bored [PERIOD] innocent [AND] joyous...
Proof chain: comfortable ∧ old-fashioned ⇒ sleepy sleepy ⇒ excited excited ⇒ popular old-fashioned ∧ comfortable ⇒ tidy old-fashioned ∧ fine ⇒ dull fine ∧ tidy ∧ dull ⇒ muddy old-fashioned ∧ comfortable ⇒ tidy joyous ∧ muddy ∧ tidy ⇒ bored popular ∧ bored ⇒ zealous
1
9
Facts: Batman is shy [PERIOD] Batman is careless [PERIOD] Batman is attractive [PERIOD] Batman is stupid [PERIOD] Rules: tidy [AND] pessimistic [IMPLY] lonely [PERIOD] pessimistic [AND] stupid [AND] long [IMPLY] careless [PERIOD] perfect [AND] exuberant [IMPLY] sleepy [PERIOD] perfect [AND] careless [IMPLY] lonely [PE...
Proof chain: Cannot apply rule “attractive ∧ exuberant ∧ careless ⇒ straightforward” because missing: exuberant. shy ⇒ impartial impartial ⇒ bossy Cannot apply rule “sleepy ∧ dishonest ∧ bossy ⇒ straightforward” because missing: sleepy, dishonest. shy ⇒ impartial impartial ⇒ bossy Cannot apply rule...
0
9
Facts: Batman is pleasant [PERIOD] Batman is bad-tempered [PERIOD] Batman is victorious [PERIOD] Rules: frightened [IMPLY] distinct [PERIOD] mysterious [IMPLY] bad-tempered [PERIOD] thoughtful [AND] anxious [IMPLY] broad-minded [PERIOD] inquisitive [AND] gorgeous [AND] wrong [IMPLY] victorious [PERIOD] victorious [IMP...
Proof chain: victorious ⇒ thoughtful thoughtful ⇒ unpleasant unpleasant ⇒ hypocritical pleasant ⇒ mysterious victorious ⇒ thoughtful thoughtful ⇒ unpleasant unpleasant ⇒ disobedient hypocritical ∧ mysterious ∧ disobedient ⇒ gorgeous gorgeous ⇒ perfect
1
9
Facts: Batman is powerful [PERIOD] Batman is muddy [PERIOD] Batman is reserved [PERIOD] Batman is vivacious [PERIOD] Batman is condemned [PERIOD] Rules: homely [IMPLY] vivacious [PERIOD] glamorous [AND] talented [IMPLY] condemned [PERIOD] supportive [AND] talented [AND] condemned [IMPLY] muddy [PERIOD] cruel [IMPLY] b...
Proof chain: reserved ∧ condemned ⇒ victorious victorious ⇒ clumsy Cannot apply rule “clumsy ∧ hypocritical ⇒ ambitious” because missing: hypocritical. muddy ⇒ long Cannot apply rule “long ∧ cute ⇒ ambitious” because missing: cute. muddy ⇒ long reserved ∧ condemned ⇒ victorious victorious ⇒ clum...
0
9
Facts: Batman is helpful [PERIOD] Batman is attractive [PERIOD] Batman is popular [PERIOD] Batman is hilarious [PERIOD] Batman is clumsy [PERIOD] Batman is disgusted [PERIOD] Rules: talented [IMPLY] bossy [PERIOD] lucky [AND] grumpy [AND] attractive [IMPLY] bossy [PERIOD] light [IMPLY] bad-tempered [PERIOD] good [AND]...
Proof chain: hilarious ∧ helpful ⇒ bossy popular ⇒ good bossy ∧ good ⇒ horrible hilarious ∧ helpful ⇒ bossy popular ⇒ good bossy ∧ good ⇒ horrible horrible ⇒ light light ⇒ worrisome horrible ∧ worrisome ⇒ elegant
1
9
Facts: Batman is thoughtless [PERIOD] Rules: hurt [AND] thoughtless [AND] attentive [IMPLY] reserved [PERIOD] hurt [AND] reserved [IMPLY] muddy [PERIOD] hurt [AND] attentive [AND] reserved [IMPLY] muddy [PERIOD] reserved [AND] attentive [IMPLY] easy [PERIOD] aggressive [IMPLY] easy [PERIOD] thoughtless [IMPLY] attenti...
Proof chain: thoughtless ⇒ attentive attentive ⇒ frail thoughtless ⇒ attentive frail ∧ attentive ⇒ aggressive aggressive ⇒ easy easy ⇒ hurt thoughtless ⇒ attentive attentive ⇒ frail hurt ∧ frail ⇒ muddy
1
9
Facts: Batman is bored [PERIOD] Rules: anxious [AND] bright [IMPLY] strange [PERIOD] strange [AND] ugliest [IMPLY] bored [PERIOD] ugliest [IMPLY] anxious [PERIOD] bored [AND] uptight [AND] ugliest [IMPLY] anxious [PERIOD] agreeable [AND] uptight [AND] anxious [IMPLY] ugliest [PERIOD] bored [AND] bright [AND] uptight [...
Proof chain: bored ⇒ bright bright ⇒ agreeable bored ⇒ uptight bored ⇒ bright bright ⇒ agreeable bored ⇒ uptight agreeable ∧ uptight ⇒ strange strange ∧ bored ⇒ anxious agreeable ∧ uptight ∧ anxious ⇒ ugliest
1
9
Facts: Batman is bad-tempered [PERIOD] Batman is cooperative [PERIOD] Batman is easy [PERIOD] Batman is perfect [PERIOD] Batman is different [PERIOD] Batman is sensible [PERIOD] Batman is gifted [PERIOD] Batman is wandering [PERIOD] Rules: bossy [AND] alert [AND] wandering [IMPLY] agreeable [PERIOD] curious [AND] shy ...
Proof chain: wandering ⇒ shy Cannot apply rule “curious ∧ shy ⇒ excited” because missing: curious. wandering ⇒ shy sensible ∧ shy ⇒ outstanding cooperative ∧ bad-tempered ⇒ alert cooperative ⇒ glamorous outstanding ∧ alert ∧ glamorous ⇒ bright cooperative ∧ bad-tempered ⇒ alert Cannot apply r...
0
9
Facts: Batman is witty [PERIOD] Batman is cooperative [PERIOD] Batman is worrisome [PERIOD] Batman is adorable [PERIOD] Batman is crowded [PERIOD] Rules: joyous [AND] fragile [AND] cruel [IMPLY] crowded [PERIOD] calm [AND] joyous [AND] fragile [IMPLY] difficult [PERIOD] adorable [AND] attractive [AND] crowded [IMPLY] ...
Proof chain: cooperative ∧ crowded ⇒ nervous nervous ⇒ attractive cooperative ⇒ calm adorable ⇒ excited excited ∧ crowded ⇒ difficult cooperative ∧ crowded ⇒ nervous nervous ⇒ attractive difficult ∧ attractive ⇒ fragile attractive ∧ calm ∧ fragile ⇒ cruel
1
9
Facts: Batman is fine [PERIOD] Batman is proud [PERIOD] Batman is gifted [PERIOD] Batman is quaint [PERIOD] Batman is hurt [PERIOD] Rules: fine [IMPLY] difficult [PERIOD] thoughtless [AND] strange [IMPLY] attentive [PERIOD] gleaming [IMPLY] difficult [PERIOD] strange [AND] gifted [AND] hurt [IMPLY] thoughtless [PERIOD...
Proof chain: gifted ∧ proud ⇒ thoughtless quaint ⇒ gleaming gleaming ∧ proud ∧ gifted ⇒ strange thoughtless ∧ strange ⇒ attentive attentive ∧ quaint ⇒ hypocritical quaint ⇒ gleaming gleaming ∧ proud ∧ gifted ⇒ strange fine ∧ proud ∧ gifted ⇒ charming hypocritical ∧ strange ∧ charming ⇒ myster...
1
9
Facts: Batman is sleepy [PERIOD] Batman is calm [PERIOD] Batman is fancy [PERIOD] Batman is weary [PERIOD] Batman is careless [PERIOD] Rules: average [AND] broad-minded [IMPLY] shy [PERIOD] uptight [IMPLY] old-fashioned [PERIOD] lucky [AND] fragile [AND] broad-minded [IMPLY] weary [PERIOD] intellectual [AND] average [...
Proof chain: fancy ⇒ mysterious fancy ⇒ rational rational ⇒ anxious anxious ∧ fancy ⇒ straightforward weary ⇒ lucky lucky ⇒ uptight uptight ⇒ old-fashioned straightforward ∧ old-fashioned ⇒ intellectual careless ∧ mysterious ∧ intellectual ⇒ plain
1
9
Facts: Batman is joyous [PERIOD] Batman is broad-minded [PERIOD] Batman is sleepy [PERIOD] Batman is bright [PERIOD] Batman is witty [PERIOD] Batman is perfect [PERIOD] Rules: disgusted [AND] diplomatic [AND] strange [IMPLY] fine [PERIOD] helpless [AND] perfect [AND] strange [IMPLY] intellectual [PERIOD] broad-minded ...
Proof chain: broad-minded ∧ joyous ⇒ smart sleepy ⇒ beautiful sleepy ⇒ homely smart ∧ beautiful ∧ homely ⇒ muddy muddy ⇒ impatient broad-minded ∧ joyous ⇒ smart smart ⇒ tame sleepy ⇒ homely impatient ∧ tame ∧ homely ⇒ diplomatic
1
9
Facts: Batman is disobedient [PERIOD] Rules: popular [AND] fearless [IMPLY] wrong [PERIOD] diplomatic [IMPLY] cooperative [PERIOD] bad-tempered [IMPLY] gorgeous [PERIOD] tidy [AND] cooperative [IMPLY] hypocritical [PERIOD] fine [AND] difficult [IMPLY] dishonest [PERIOD] disobedient [AND] fearless [AND] difficult [IMPL...
Proof chain: disobedient ⇒ diplomatic diplomatic ⇒ cooperative Cannot apply rule “tidy ∧ cooperative ⇒ hypocritical” because missing: tidy. Cannot apply rule “unpleasant ∧ fearless ⇒ hypocritical” because missing: unpleasant, fearless. Cannot apply rule “difficult ∧ wrong ∧ exuberant ⇒ hypocritical” beca...
0
9
Facts: Batman is crowded [PERIOD] Batman is wrong [PERIOD] Batman is tense [PERIOD] Batman is confused [PERIOD] Batman is elegant [PERIOD] Batman is tidy [PERIOD] Batman is mysterious [PERIOD] Batman is embarrassed [PERIOD] Batman is courageous [PERIOD] Rules: confused [AND] troubled [IMPLY] stubborn [PERIOD] shiny [I...
Proof chain: wrong ⇒ wide-eyed wide-eyed ∧ mysterious ⇒ tired mysterious ∧ confused ⇒ shiny shiny ⇒ uptight tired ∧ uptight ⇒ pleasant wrong ⇒ wide-eyed wide-eyed ∧ mysterious ⇒ tired elegant ⇒ curious pleasant ∧ tired ∧ curious ⇒ jittery
1
9
Facts: Batman is serious [PERIOD] Rules: weary [AND] fine [AND] rational [IMPLY] serious [PERIOD] rational [IMPLY] hurt [PERIOD] bad-tempered [IMPLY] serious [PERIOD] fine [IMPLY] rational [PERIOD] rational [AND] bad-tempered [IMPLY] weary [PERIOD] hurt [AND] serious [IMPLY] zealous [PERIOD] hurt [IMPLY] frantic [PERI...
Proof chain: serious ⇒ frantic frantic ⇒ rational rational ⇒ hurt hurt ∧ serious ⇒ zealous serious ⇒ frantic frantic ⇒ rational rational ⇒ hurt serious ⇒ frantic zealous ∧ hurt ∧ frantic ⇒ bad-tempered
1
9
Facts: Batman is homely [PERIOD] Rules: lonely [IMPLY] polite [PERIOD] friendly [IMPLY] innocent [PERIOD] friendly [IMPLY] frail [PERIOD] polite [IMPLY] frightened [PERIOD] elegant [IMPLY] inexpensive [PERIOD] attentive [AND] enchanting [AND] friendly [IMPLY] frightened [PERIOD] inexpensive [AND] frail [AND] friendly ...
Proof chain: Cannot apply rule “helpful ⇒ elegant” because missing: helpful. Cannot apply rule “exuberant ⇒ elegant” because missing: exuberant. homely ⇒ enchanting enchanting ⇒ attentive Cannot apply rule “attentive ∧ innocent ⇒ elegant” because missing: innocent. Cannot apply rule “broad-minded ⇒ el...
0
9
Facts: Batman is sleepy [PERIOD] Batman is thoughtful [PERIOD] Batman is messy [PERIOD] Rules: messy [IMPLY] muddy [PERIOD] foolish [IMPLY] talented [PERIOD] smart [IMPLY] cooperative [PERIOD] straightforward [AND] reserved [IMPLY] messy [PERIOD] sensible [IMPLY] muddy [PERIOD] wandering [AND] strange [AND] outrageous...
Proof chain: Cannot apply rule “strange ∧ tired ⇒ outrageous” because missing: strange, tired. messy ⇒ wandering messy ⇒ muddy muddy ⇒ tidy tidy ⇒ reserved reserved ⇒ cooperative sleepy ∧ cooperative ⇒ talkative talkative ⇒ light Cannot apply rule “wandering ∧ light ∧ tired ⇒ outrageous” beca...
0
9
Facts: Batman is old-fashioned [PERIOD] Batman is good [PERIOD] Batman is naughty [PERIOD] Rules: hypocritical [AND] tired [AND] charming [IMPLY] stormy [PERIOD] smart [AND] helpless [IMPLY] stupid [PERIOD] hilarious [AND] sleepy [IMPLY] naughty [PERIOD] helpless [AND] pleasant [AND] tame [IMPLY] hypocritical [PERIOD]...
Proof chain: old-fashioned ⇒ tired tired ∧ naughty ⇒ smart old-fashioned ⇒ friendly old-fashioned ⇒ tired tired ⇒ calm friendly ∧ calm ⇒ sleepy old-fashioned ⇒ tired sleepy ∧ tired ∧ naughty ⇒ helpful smart ∧ helpful ⇒ tame
1
9
Facts: Batman is polite [PERIOD] Batman is exuberant [PERIOD] Rules: exuberant [AND] wide-eyed [IMPLY] difficult [PERIOD] fancy [AND] tidy [IMPLY] cute [PERIOD] foolish [AND] wide-eyed [AND] troubled [IMPLY] fancy [PERIOD] quaint [AND] lucky [IMPLY] cute [PERIOD] lucky [IMPLY] quaint [PERIOD] polite [AND] inquisitive ...
Proof chain: exuberant ⇒ tidy tidy ∧ polite ⇒ ambitious ambitious ⇒ hilarious exuberant ⇒ tidy tidy ∧ polite ⇒ ambitious hilarious ∧ ambitious ⇒ troubled troubled ⇒ bright bright ⇒ shiny shiny ∧ polite ⇒ disobedient
1
9
Facts: Rules: calm [AND] tidy [AND] busy [IMPLY] witty [PERIOD] nervous [AND] witty [AND] busy [IMPLY] confused [PERIOD] adorable [AND] zealous [AND] busy [IMPLY] nervous [PERIOD] busy [IMPLY] tidy [PERIOD] intellectual [IMPLY] confused [PERIOD] witty [AND] quaint [AND] nervous [IMPLY] tidy [PERIOD] intellectual [AND]...
Proof chain: Cannot apply rule “busy ⇒ tidy” because missing: busy. Cannot apply rule “witty ∧ quaint ∧ nervous ⇒ tidy” because missing: witty, quaint, nervous. Cannot apply rule “zealous ∧ weary ∧ modern ⇒ tidy” because missing: zealous, weary, modern. Cannot apply rule “busy ∧ modern ∧ calm ⇒ tidy” becaus...
0
9
Facts: Batman is tidy [PERIOD] Batman is combative [PERIOD] Batman is distinct [PERIOD] Batman is difficult [PERIOD] Rules: shy [AND] old-fashioned [AND] frightened [IMPLY] muddy [PERIOD] distinct [AND] muddy [IMPLY] frightened [PERIOD] courageous [AND] tidy [AND] friendly [IMPLY] shy [PERIOD] joyous [AND] difficult [...
Proof chain: distinct ⇒ light light ⇒ frightened frightened ⇒ courageous distinct ⇒ light difficult ∧ courageous ∧ light ⇒ friendly distinct ⇒ light light ⇒ frightened frightened ⇒ supportive friendly ∧ supportive ⇒ zealous
1
9
Facts: Batman is sensible [PERIOD] Batman is messy [PERIOD] Rules: enchanting [AND] helpless [AND] unpleasant [IMPLY] hypocritical [PERIOD] bright [AND] outstanding [IMPLY] victorious [PERIOD] different [AND] vivacious [IMPLY] outstanding [PERIOD] talented [AND] dishonest [AND] different [IMPLY] good [PERIOD] inexpens...
Proof chain: messy ⇒ fancy fancy ⇒ victorious victorious ⇒ popular messy ⇒ fancy fancy ⇒ victorious victorious ⇒ popular popular ⇒ condemned condemned ⇒ inexpensive popular ∧ inexpensive ⇒ nervous
1
9
Facts: Batman is long [PERIOD] Batman is combative [PERIOD] Batman is glamorous [PERIOD] Batman is plain [PERIOD] Rules: homely [IMPLY] gorgeous [PERIOD] tender [AND] famous [AND] horrible [IMPLY] loving [PERIOD] plain [IMPLY] polite [PERIOD] different [AND] horrible [IMPLY] tender [PERIOD] fancy [IMPLY] combative [PE...
Proof chain: glamorous ⇒ good plain ⇒ polite good ∧ polite ⇒ charming glamorous ⇒ cooperative glamorous ⇒ good plain ⇒ polite good ∧ polite ⇒ charming cooperative ∧ charming ⇒ gorgeous charming ∧ gorgeous ∧ plain ⇒ gleaming
1
9
Facts: Batman is homely [PERIOD] Batman is talkative [PERIOD] Batman is fragile [PERIOD] Rules: dishonest [IMPLY] homely [PERIOD] frightened [AND] dishonest [AND] distinct [IMPLY] bossy [PERIOD] uptight [IMPLY] anxious [PERIOD] fragile [AND] frightened [IMPLY] anxious [PERIOD] anxious [AND] elated [IMPLY] frightened [...
Proof chain: fragile ∧ talkative ⇒ frightened fragile ∧ talkative ⇒ frightened frightened ⇒ distinct Cannot apply rule “frightened ∧ dishonest ∧ distinct ⇒ bossy” because missing: dishonest. Cannot apply rule “talkative ∧ homely ∧ uptight ⇒ bossy” because missing: uptight. Cannot apply rule “dishonest...
0
9
Facts: Batman is anxious [PERIOD] Rules: thoughtful [AND] strange [IMPLY] distinct [PERIOD] strange [IMPLY] silly [PERIOD] anxious [AND] distinct [IMPLY] curious [PERIOD] polite [AND] silly [IMPLY] plain [PERIOD] distinct [AND] strange [AND] curious [IMPLY] polite [PERIOD] silly [AND] curious [IMPLY] plain [PERIOD] di...
Proof chain: Cannot apply rule “distinct ∧ strange ∧ curious ⇒ polite” because missing: distinct, strange, curious. anxious ⇒ intellectual Cannot apply rule “curious ∧ intellectual ∧ excited ⇒ polite” because missing: curious, excited. Cannot apply rule “excited ⇒ polite” because missing: excited. anxiou...
0
9
Facts: Batman is loving [PERIOD] Batman is condemned [PERIOD] Batman is average [PERIOD] Rules: precious [AND] anxious [AND] curious [IMPLY] frightened [PERIOD] condemned [AND] troubled [AND] vivacious [IMPLY] silly [PERIOD] silly [IMPLY] precious [PERIOD] loving [AND] troubled [AND] outstanding [IMPLY] fragile [PERIO...
Proof chain: loving ⇒ homely loving ⇒ anxious loving ⇒ bright condemned ⇒ perfect condemned ⇒ perfect perfect ⇒ vivacious bright ∧ perfect ∧ vivacious ⇒ precious anxious ∧ precious ⇒ worried homely ∧ worried ∧ loving ⇒ difficult
1
9
Facts: Batman is smart [PERIOD] Batman is charming [PERIOD] Batman is crowded [PERIOD] Rules: uptight [IMPLY] charming [PERIOD] frightened [IMPLY] tidy [PERIOD] smart [AND] exuberant [AND] frightened [IMPLY] crowded [PERIOD] stubborn [AND] dull [AND] frightened [IMPLY] crowded [PERIOD] fancy [AND] beautiful [IMPLY] co...
Proof chain: charming ⇒ fancy crowded ⇒ dull dull ⇒ beautiful fancy ∧ beautiful ⇒ condemned condemned ∧ charming ⇒ supportive charming ⇒ frightened frightened ⇒ tidy supportive ∧ tidy ⇒ stubborn stubborn ⇒ stupid
1
9
Facts: Batman is pleasant [PERIOD] Batman is easy [PERIOD] Batman is enchanting [PERIOD] Rules: pleasant [AND] adorable [AND] precious [IMPLY] good [PERIOD] combative [AND] charming [IMPLY] cute [PERIOD] frantic [IMPLY] tired [PERIOD] enchanting [AND] outrageous [AND] cute [IMPLY] pleasant [PERIOD] charming [IMPLY] ou...
Proof chain: Cannot apply rule “cute ∧ alert ⇒ elegant” because missing: cute, alert. Cannot apply rule “charming ⇒ elegant” because missing: charming. Cannot apply rule “comfortable ⇒ elegant” because missing: comfortable. Cannot apply rule “easy ∧ good ⇒ elegant” because missing: good. enchanting ⇒ tir...
0
9
Facts: Batman is innocent [PERIOD] Rules: innocent [IMPLY] exuberant [PERIOD] innocent [AND] shy [AND] naughty [IMPLY] exuberant [PERIOD] innocent [AND] wandering [IMPLY] perfect [PERIOD] shy [IMPLY] innocent [PERIOD] spotless [AND] shy [AND] wandering [IMPLY] exuberant [PERIOD] perfect [AND] spotless [IMPLY] shy [PER...
Proof chain: innocent ⇒ exuberant innocent ∧ exuberant ⇒ perfect innocent ⇒ exuberant innocent ∧ exuberant ⇒ perfect innocent ∧ perfect ⇒ naughty innocent ⇒ exuberant innocent ∧ exuberant ⇒ perfect naughty ∧ perfect ⇒ spotless perfect ∧ spotless ⇒ shy
1
9
Facts: Batman is thoughtful [PERIOD] Batman is beautiful [PERIOD] Batman is combative [PERIOD] Rules: fancy [AND] comfortable [AND] combative [IMPLY] thoughtful [PERIOD] beautiful [IMPLY] victorious [PERIOD] tender [AND] beautiful [AND] victorious [IMPLY] thoughtful [PERIOD] combative [AND] dull [AND] thoughtful [IMPL...
Proof chain: Cannot apply rule “combative ∧ dull ∧ thoughtful ⇒ glamorous” because missing: dull. Cannot apply rule “pessimistic ∧ dull ∧ fancy ⇒ glamorous” because missing: pessimistic, dull, fancy. Cannot apply rule “comfortable ∧ thoughtful ⇒ glamorous” because missing: comfortable. beautiful ⇒ victoriou...
0
9
Facts: Batman is pleasant [PERIOD] Rules: exuberant [IMPLY] broad-minded [PERIOD] pleasant [AND] crowded [IMPLY] smart [PERIOD] stubborn [AND] weary [AND] pleasant [IMPLY] exuberant [PERIOD] outrageous [AND] crowded [IMPLY] exuberant [PERIOD] stubborn [IMPLY] smart [PERIOD] crowded [IMPLY] fearless [PERIOD] outrageous...
Proof chain: Cannot apply rule “crowded ⇒ fearless” because missing: crowded. pleasant ⇒ stubborn stubborn ⇒ smart pleasant ⇒ stubborn Cannot apply rule “smart ∧ outrageous ∧ stubborn ⇒ fearless” because missing: outrageous. pleasant ⇒ stubborn stubborn ⇒ smart Cannot apply rule “exuberant ∧ sma...
0
9
Facts: Batman is hypocritical [PERIOD] Batman is good [PERIOD] Batman is rude [PERIOD] Batman is ugliest [PERIOD] Batman is hurt [PERIOD] Batman is ambitious [PERIOD] Batman is grumpy [PERIOD] Rules: outstanding [AND] tired [IMPLY] gleaming [PERIOD] curious [IMPLY] grumpy [PERIOD] outrageous [IMPLY] tired [PERIOD] tal...
Proof chain: ambitious ⇒ mysterious mysterious ⇒ victorious victorious ∧ ugliest ⇒ cruel hypocritical ⇒ tired ambitious ⇒ mysterious mysterious ⇒ victorious victorious ∧ ugliest ⇒ cruel tired ∧ cruel ⇒ nervous good ∧ cruel ∧ nervous ⇒ unpleasant
1
9
Facts: Batman is worrisome [PERIOD] Batman is shy [PERIOD] Batman is impatient [PERIOD] Rules: impatient [AND] lonely [IMPLY] bossy [PERIOD] bossy [AND] foolish [AND] excited [IMPLY] long [PERIOD] glamorous [AND] foolish [AND] bossy [IMPLY] excited [PERIOD] impatient [IMPLY] shy [PERIOD] enchanting [IMPLY] impatient [...
Proof chain: worrisome ⇒ lonely lonely ⇒ glamorous worrisome ⇒ lonely impatient ∧ lonely ⇒ bossy Cannot apply rule “glamorous ∧ foolish ∧ bossy ⇒ excited” because missing: foolish. worrisome ⇒ lonely lonely ⇒ glamorous glamorous ⇒ enchanting Cannot apply rule “enchanting ∧ foolish ⇒ excited” ...
0
9
Facts: Batman is sincere [PERIOD] Batman is confident [PERIOD] Batman is attentive [PERIOD] Rules: foolish [IMPLY] impatient [PERIOD] frail [AND] elated [IMPLY] enchanting [PERIOD] diplomatic [AND] excited [IMPLY] enchanting [PERIOD] naughty [AND] impatient [AND] good [IMPLY] elated [PERIOD] sincere [AND] foolish [AND...
Proof chain: confident ⇒ gleaming gleaming ⇒ excited excited ⇒ friendly friendly ⇒ pessimistic confident ⇒ gleaming gleaming ⇒ excited excited ⇒ friendly pessimistic ∧ friendly ⇒ shy shy ∧ attentive ⇒ impatient
1
9
Facts: Batman is dishonest [PERIOD] Rules: silly [IMPLY] frail [PERIOD] long [AND] wandering [IMPLY] broad-minded [PERIOD] gorgeous [AND] popular [IMPLY] disobedient [PERIOD] broad-minded [IMPLY] tame [PERIOD] reserved [IMPLY] broad-minded [PERIOD] silly [AND] distinct [IMPLY] thoughtful [PERIOD] sleepy [AND] frail [A...
Proof chain: Cannot apply rule “long ∧ excited ⇒ wandering” because missing: long, excited. dishonest ⇒ distinct distinct ⇒ shiny dishonest ⇒ distinct shiny ∧ distinct ⇒ lucky lucky ⇒ gorgeous gorgeous ⇒ frail Cannot apply rule “frail ∧ thoughtful ⇒ wandering” because missing: thoughtful. Can...
0
9
Facts: Batman is light [PERIOD] Rules: average [AND] unpleasant [IMPLY] tense [PERIOD] clumsy [AND] sleepy [AND] average [IMPLY] sincere [PERIOD] inquisitive [AND] straightforward [AND] sleepy [IMPLY] naughty [PERIOD] straightforward [IMPLY] talented [PERIOD] quaint [AND] sleepy [IMPLY] shiny [PERIOD] gleaming [AND] s...
Proof chain: light ⇒ quaint quaint ⇒ different different ⇒ diplomatic light ⇒ quaint quaint ⇒ straightforward diplomatic ∧ straightforward ⇒ clumsy light ⇒ quaint quaint ⇒ different light ∧ clumsy ∧ different ⇒ excited
1
9
Facts: Batman is broad-minded [PERIOD] Batman is frightened [PERIOD] Rules: disgusted [AND] tidy [IMPLY] weary [PERIOD] fine [IMPLY] distinct [PERIOD] frightened [AND] thoughtful [IMPLY] exuberant [PERIOD] disgusted [AND] disobedient [IMPLY] adorable [PERIOD] stormy [AND] broad-minded [AND] tidy [IMPLY] thoughtful [PE...
Proof chain: frightened ⇒ cooperative frightened ⇒ cooperative cooperative ⇒ thoughtful frightened ⇒ elated thoughtful ∧ elated ⇒ fine cooperative ∧ fine ⇒ old-fashioned broad-minded ⇒ adorable adorable ⇒ stormy old-fashioned ∧ stormy ⇒ weary
1
9
Facts: Batman is nervous [PERIOD] Batman is cooperative [PERIOD] Batman is light [PERIOD] Rules: impatient [AND] cute [IMPLY] bright [PERIOD] proud [AND] cooperative [AND] bright [IMPLY] cute [PERIOD] impatient [AND] innocent [IMPLY] cooperative [PERIOD] cute [AND] bright [AND] cooperative [IMPLY] impatient [PERIOD] s...
Proof chain: nervous ⇒ bright cooperative ⇒ supportive bright ∧ supportive ⇒ innocent light ⇒ worrisome light ⇒ perfect worrisome ∧ perfect ⇒ cute nervous ⇒ bright cute ∧ bright ∧ cooperative ⇒ impatient innocent ∧ impatient ∧ nervous ⇒ naughty
1
9
Facts: Batman is polite [PERIOD] Batman is straightforward [PERIOD] Batman is confident [PERIOD] Batman is grumpy [PERIOD] Batman is easy [PERIOD] Batman is powerful [PERIOD] Batman is helpless [PERIOD] Batman is charming [PERIOD] Batman is frantic [PERIOD] Rules: ugliest [IMPLY] powerful [PERIOD] powerful [IMPLY] stu...
Proof chain: powerful ⇒ stupid stupid ⇒ aggressive powerful ⇒ stupid stupid ⇒ glamorous helpless ∧ glamorous ∧ easy ⇒ talkative powerful ⇒ stupid stupid ⇒ glamorous talkative ∧ glamorous ⇒ bad-tempered charming ∧ aggressive ∧ bad-tempered ⇒ tidy
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Facts: Batman is supportive [PERIOD] Batman is sleepy [PERIOD] Batman is silly [PERIOD] Batman is innocent [PERIOD] Rules: aggressive [AND] dishonest [IMPLY] confused [PERIOD] sincere [AND] aggressive [AND] dishonest [IMPLY] amused [PERIOD] innocent [AND] silly [AND] aggressive [IMPLY] lonely [PERIOD] hilarious [AND] ...
Proof chain: supportive ⇒ lonely lonely ⇒ troubled troubled ⇒ bright supportive ⇒ lonely bright ∧ lonely ∧ supportive ⇒ dishonest Cannot apply rule “supportive ∧ sensible ∧ dishonest ⇒ long” because missing: sensible. Cannot apply rule “aggressive ⇒ long” because missing: aggressive. Cannot appl...
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Facts: Batman is horrible [PERIOD] Batman is serious [PERIOD] Rules: sleepy [AND] horrible [IMPLY] adorable [PERIOD] rude [AND] anxious [IMPLY] serious [PERIOD] ugly [AND] condemned [AND] horrible [IMPLY] adorable [PERIOD] anxious [AND] horrible [IMPLY] thoughtless [PERIOD] wide-eyed [IMPLY] rude [PERIOD] thoughtless ...
Proof chain: Cannot apply rule “wide-eyed ⇒ rude” because missing: wide-eyed. horrible ⇒ inexpensive inexpensive ⇒ thoughtless horrible ⇒ inexpensive inexpensive ⇒ thoughtless thoughtless ⇒ sincere Cannot apply rule “thoughtless ∧ adorable ∧ sincere ⇒ rude” because missing: adorable. horrible ⇒ ...
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Facts: Batman is disgusted [PERIOD] Rules: messy [AND] tense [IMPLY] stupid [PERIOD] rational [AND] crowded [AND] stupid [IMPLY] attractive [PERIOD] crowded [AND] attractive [IMPLY] messy [PERIOD] tense [IMPLY] embarrassed [PERIOD] disgusted [IMPLY] tense [PERIOD] crowded [AND] attractive [IMPLY] aggressive [PERIOD] s...
Proof chain: Cannot apply rule “crowded ∧ attractive ⇒ aggressive” because missing: crowded, attractive. disgusted ⇒ tense Cannot apply rule “attractive ∧ tense ⇒ aggressive” because missing: attractive. disgusted ⇒ tense Cannot apply rule “crowded ∧ tense ⇒ aggressive” because missing: crowded. Canno...
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Facts: Batman is hurt [PERIOD] Rules: perfect [AND] wrong [AND] anxious [IMPLY] difficult [PERIOD] worried [AND] difficult [AND] pessimistic [IMPLY] precious [PERIOD] nervous [AND] disgusted [IMPLY] jittery [PERIOD] perfect [AND] disgusted [AND] jittery [IMPLY] worried [PERIOD] vivacious [AND] disgusted [AND] precious...
Proof chain: hurt ⇒ difficult Cannot apply rule “difficult ∧ wandering ∧ precious ⇒ quaint” because missing: wandering, precious. Cannot apply rule “perfect ∧ wandering ∧ pessimistic ⇒ quaint” because missing: perfect, wandering, pessimistic. Cannot apply rule “old-fashioned ∧ bright ⇒ quaint” because missi...
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Facts: Batman is clean [PERIOD] Batman is polite [PERIOD] Batman is strange [PERIOD] Batman is diplomatic [PERIOD] Batman is long [PERIOD] Batman is fancy [PERIOD] Rules: sleepy [AND] fancy [AND] modern [IMPLY] different [PERIOD] innocent [AND] old-fashioned [IMPLY] modern [PERIOD] modern [AND] strange [IMPLY] preciou...
Proof chain: long ⇒ innocent long ⇒ different innocent ∧ different ⇒ hypocritical long ⇒ innocent polite ⇒ hurt hurt ⇒ worried strange ∧ worried ⇒ old-fashioned innocent ∧ old-fashioned ⇒ modern hypocritical ∧ modern ∧ strange ⇒ sleepy
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Facts: Batman is disgusted [PERIOD] Batman is combative [PERIOD] Batman is fragile [PERIOD] Batman is worried [PERIOD] Rules: thoughtless [AND] tame [AND] courageous [IMPLY] enchanting [PERIOD] thoughtless [IMPLY] talented [PERIOD] cooperative [AND] tame [AND] loving [IMPLY] joyous [PERIOD] proud [AND] embarrassed [IM...
Proof chain: disgusted ⇒ excited excited ⇒ courageous disgusted ⇒ excited excited ⇒ courageous courageous ⇒ loving courageous ∧ loving ⇒ proud combative ⇒ stupid stupid ⇒ dishonest proud ∧ fragile ∧ dishonest ⇒ gifted
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Facts: Batman is thoughtless [PERIOD] Rules: thoughtless [AND] straightforward [AND] bad-tempered [IMPLY] adorable [PERIOD] shy [AND] straightforward [AND] aggressive [IMPLY] fearless [PERIOD] bad-tempered [AND] average [IMPLY] adorable [PERIOD] straightforward [AND] bad-tempered [IMPLY] aggressive [PERIOD] famous [IM...
Proof chain: thoughtless ⇒ adorable adorable ⇒ jittery Cannot apply rule “shy ∧ jittery ⇒ joyous” because missing: shy. Cannot apply rule “average ∧ aggressive ∧ bad-tempered ⇒ joyous” because missing: average, aggressive, bad-tempered. thoughtless ⇒ adorable Cannot apply rule “adorable ∧ famous ∧ tho...
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Facts: Batman is uptight [PERIOD] Batman is wrong [PERIOD] Batman is enchanting [PERIOD] Batman is different [PERIOD] Batman is precious [PERIOD] Batman is beautiful [PERIOD] Batman is spotless [PERIOD] Batman is disobedient [PERIOD] Batman is polite [PERIOD] Batman is zealous [PERIOD] Batman is cooperative [PERIOD] B...
Proof chain: shiny ⇒ plain zealous ∧ uptight ⇒ thoughtless shiny ⇒ plain thoughtless ∧ plain ⇒ fragile zealous ∧ uptight ⇒ thoughtless shiny ⇒ plain thoughtless ∧ plain ⇒ fragile fragile ⇒ anxious plain ∧ fragile ∧ anxious ⇒ unpleasant
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Facts: Batman is combative [PERIOD] Batman is elegant [PERIOD] Batman is adorable [PERIOD] Batman is mysterious [PERIOD] Batman is weary [PERIOD] Batman is helpful [PERIOD] Rules: stubborn [IMPLY] mysterious [PERIOD] fragile [AND] versatile [AND] helpful [IMPLY] old-fashioned [PERIOD] intellectual [IMPLY] precious [PE...
Proof chain: adorable ⇒ fragile Cannot apply rule “unpleasant ∧ fragile ⇒ frail” because missing: unpleasant. elegant ⇒ fearless helpful ∧ fearless ⇒ attractive weary ∧ combative ⇒ old-fashioned adorable ⇒ fragile attractive ∧ old-fashioned ∧ fragile ⇒ impartial weary ∧ combative ⇒ old-fashioned...
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Facts: Batman is disobedient [PERIOD] Batman is different [PERIOD] Batman is grumpy [PERIOD] Batman is diplomatic [PERIOD] Rules: fragile [AND] stormy [IMPLY] confident [PERIOD] different [AND] gifted [AND] glamorous [IMPLY] bright [PERIOD] wrong [AND] disobedient [IMPLY] confident [PERIOD] average [AND] ugliest [AND]...
Proof chain: disobedient ⇒ fancy diplomatic ∧ fancy ⇒ ugliest grumpy ∧ disobedient ⇒ dull grumpy ∧ diplomatic ∧ dull ⇒ wide-eyed diplomatic ∧ wide-eyed ⇒ gifted disobedient ⇒ fancy gifted ∧ fancy ⇒ distinct distinct ∧ grumpy ⇒ mean ugliest ∧ mean ⇒ frail
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Facts: Batman is thoughtful [PERIOD] Batman is uptight [PERIOD] Batman is tidy [PERIOD] Batman is tender [PERIOD] Batman is weary [PERIOD] Rules: glamorous [AND] weary [AND] popular [IMPLY] uptight [PERIOD] aggressive [AND] cute [IMPLY] straightforward [PERIOD] thoughtful [AND] perfect [IMPLY] weary [PERIOD] joyous [A...
Proof chain: thoughtful ⇒ victorious victorious ⇒ anxious thoughtful ⇒ victorious weary ∧ anxious ∧ victorious ⇒ fancy thoughtful ⇒ victorious fancy ∧ tender ∧ victorious ⇒ enchanting weary ∧ enchanting ⇒ perfect perfect ⇒ jittery tidy ∧ jittery ⇒ shiny
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Facts: Batman is uptight [PERIOD] Batman is mean [PERIOD] Batman is polite [PERIOD] Batman is impatient [PERIOD] Batman is reserved [PERIOD] Batman is scared [PERIOD] Batman is muddy [PERIOD] Batman is crowded [PERIOD] Batman is courageous [PERIOD] Batman is fine [PERIOD] Rules: courageous [AND] worrisome [IMPLY] sens...
Proof chain: uptight ∧ muddy ⇒ innocent mean ∧ innocent ⇒ joyous polite ∧ joyous ∧ courageous ⇒ witty Cannot apply rule “clumsy ∧ witty ⇒ fancy” because missing: clumsy. Cannot apply rule “pessimistic ⇒ fancy” because missing: pessimistic. uptight ∧ muddy ⇒ innocent mean ∧ innocent ⇒ joyous poli...
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Facts: Batman is pessimistic [PERIOD] Batman is messy [PERIOD] Batman is helpful [PERIOD] Batman is stupid [PERIOD] Batman is foolish [PERIOD] Batman is fragile [PERIOD] Batman is dishonest [PERIOD] Rules: dishonest [IMPLY] fragile [PERIOD] foolish [AND] pessimistic [IMPLY] diplomatic [PERIOD] diplomatic [IMPLY] disho...
Proof chain: helpful ∧ stupid ⇒ calm helpful ⇒ diplomatic calm ∧ diplomatic ∧ foolish ⇒ perfect Cannot apply rule “perfect ∧ helpless ∧ confident ⇒ worried” because missing: helpless, confident. messy ⇒ distinct Cannot apply rule “helpless ∧ distinct ∧ fragile ⇒ worried” because missing: helpless. ...
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Facts: Batman is tidy [PERIOD] Rules: talkative [AND] worrisome [AND] average [IMPLY] horrible [PERIOD] embarrassed [AND] worrisome [IMPLY] selfish [PERIOD] shy [IMPLY] careless [PERIOD] dull [AND] different [IMPLY] plain [PERIOD] worrisome [AND] hilarious [IMPLY] helpless [PERIOD] tidy [AND] worrisome [AND] dull [IMP...
Proof chain: tidy ⇒ shy shy ⇒ careless tidy ⇒ shy shy ⇒ hilarious tidy ⇒ shy shy ⇒ careless tidy ⇒ shy careless ∧ shy ⇒ naughty careless ∧ hilarious ∧ naughty ⇒ horrible
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Facts: Batman is tidy [PERIOD] Batman is plain [PERIOD] Batman is intellectual [PERIOD] Batman is charming [PERIOD] Rules: glamorous [AND] plain [IMPLY] intellectual [PERIOD] jittery [IMPLY] combative [PERIOD] muddy [AND] jittery [IMPLY] tidy [PERIOD] talented [AND] proud [IMPLY] charming [PERIOD] combative [AND] tidy...
Proof chain: intellectual ∧ tidy ⇒ combative charming ⇒ agreeable agreeable ⇒ stupid plain ∧ charming ∧ tidy ⇒ jittery intellectual ∧ tidy ⇒ combative stupid ∧ jittery ∧ combative ⇒ glamorous intellectual ∧ tidy ⇒ combative combative ∧ tidy ⇒ muddy combative ∧ glamorous ∧ muddy ⇒ gorgeous
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Facts: Batman is smart [PERIOD] Batman is modern [PERIOD] Batman is cute [PERIOD] Rules: tired [AND] excited [IMPLY] dishonest [PERIOD] embarrassed [IMPLY] stormy [PERIOD] hypocritical [IMPLY] modern [PERIOD] famous [AND] attractive [AND] excited [IMPLY] distinct [PERIOD] cute [AND] distinct [IMPLY] inexpensive [PERIO...
Proof chain: Cannot apply rule “dishonest ⇒ famous” because missing: dishonest. Cannot apply rule “distinct ∧ smart ∧ hypocritical ⇒ famous” because missing: distinct, hypocritical. Cannot apply rule “stormy ⇒ famous” because missing: stormy. Cannot apply rule “homely ∧ cute ∧ inexpensive ⇒ famous” because ...
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Facts: Batman is wrong [PERIOD] Batman is blushing [PERIOD] Rules: versatile [IMPLY] impatient [PERIOD] light [IMPLY] worried [PERIOD] versatile [AND] excited [AND] hypocritical [IMPLY] naughty [PERIOD] worried [AND] witty [IMPLY] helpless [PERIOD] wrong [AND] supportive [AND] serious [IMPLY] hypocritical [PERIOD] hel...
Proof chain: Cannot apply rule “versatile ∧ excited ∧ hypocritical ⇒ naughty” because missing: versatile, excited, hypocritical. Cannot apply rule “wrong ∧ witty ⇒ naughty” because missing: witty. wrong ⇒ homely homely ⇒ careless careless ⇒ busy Cannot apply rule “versatile ∧ polite ∧ busy ⇒ naughty” ...
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Facts: Batman is pessimistic [PERIOD] Rules: tidy [AND] worried [IMPLY] mysterious [PERIOD] modern [IMPLY] cooperative [PERIOD] cooperative [IMPLY] perfect [PERIOD] frightened [AND] modern [AND] pleasant [IMPLY] outstanding [PERIOD] pessimistic [AND] easy [AND] cute [IMPLY] worried [PERIOD] homely [IMPLY] modern [PERI...
Proof chain: pessimistic ⇒ condemned condemned ⇒ modern modern ⇒ attractive attractive ⇒ easy easy ⇒ frightened pessimistic ⇒ condemned condemned ⇒ modern pessimistic ⇒ pleasant frightened ∧ modern ∧ pleasant ⇒ outstanding
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